The Dependence on Composition of the Critical Ordering Temperature in Alloys
- 24 October 1937
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 33 (4) , 502-517
- https://doi.org/10.1017/s030500410007763x
Abstract
The statistical treatment of order-disorder transformations, as developed by Bethe and Peierls, has been extended to alloys having superlattices of the AB and AB3 types but compositions which differ slightly from the ideal compositions required for the formation of perfect superlattices. If the composition of the alloy is specified by the concentration c of one component, which we have chosen to be the A component, then the results show that for alloys of the AB type the critical temperature should have a maximum value when c = ½, that is, for the ideal composition. This is in agreement with experiment. For alloys of the AB3 type it is found that the maximum value should occur for some value of c > ¼. This result disagrees with that obtained experimentally, but both results agree, at least qualitatively, with those obtained by the theory of Bragg and Williams.Keywords
This publication has 5 references indexed in Scilit:
- Statistical theory of superlattices with unequal concentrations of the componentsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1936
- The effect of thermal agitation on atomic arrangement in alloys-IIIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- Statistical theory of superlatticesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- The effect of thermal agitation on atomic arrangement in alloysProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934
- Essays and Studies.Modern Language Notes, 1931